Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
Phys. Rev. B 98, 144410 (2018) We have studied long range orders of electric quadrupole moments described by an effective pseudospin-$\frac{1}{2}$ Hamiltonian representing pyrochlore magnets with non-Kramers ions under [111] magnetic field, in relevance to Tb$_{2}$Ti$_{2}$O$_{7}$. Order parameters a...
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Zusammenfassung: | Phys. Rev. B 98, 144410 (2018) We have studied long range orders of electric quadrupole moments described by
an effective pseudospin-$\frac{1}{2}$ Hamiltonian representing pyrochlore
magnets with non-Kramers ions under [111] magnetic field, in relevance to
Tb$_{2}$Ti$_{2}$O$_{7}$. Order parameters and phase transitions of this
frustrated system are investigated using classical Monte-Carlo simulations. In
zero field, the model undergoes a first-order phase transition from a
paramagnetic state to an ordered state with an antiparallel arrangement of
pseudospins. This pseudospin order is characterized by the wavevector
$\boldsymbol{k}=0$ and is selected by an energetic or an order-by-disorder
mechanism from degenerate $\boldsymbol{k}=(h,h,h)$ mean-field orders. Under
[111] magnetic field this three-dimensional quadrupole order is transformed to
a quasi two-dimensional quadrupole order on each kagom\'{e} lattice separated
by field-induced ferromagnetic triangular lattices. We discuss implication of
the simulation results with respect to experimental data of
Tb$_{2}$Ti$_{2}$O$_{7}$. |
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DOI: | 10.48550/arxiv.1807.07722 |